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Finding the Third Proportional to 85,501.13 and 132,404.06

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Solution

The third proportional to 85,501.13 and 132,404.06 is: 205,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,501.13 : 132,404.06 = 132,404.06 : x
  2. Step 2: Convert to fraction form
    85,501.13/132,404.06 = 132,404.06/x
  3. Step 3: Cross multiply
    85,501.13x = 132,404.06 × 132,404.06
  4. Step 4: Simplify right side
    85,501.13x = 17,530,835,766.50
  5. Step 5: Solve for x
    x = 17,530,835,766.50/85,501.13
  6. Step 6: Final answer
    x = 205,036.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.